Synchrotron X-ray diffraction study of load partitioning during elastic deformation of bovine dentin

A. C. Deymier-Black; J. D. Almer; Stuart R Stock; D. R. Haeffner; David C Dunand

doi:10.1016/j.actbio.2009.11.017

Synchrotron X-ray diffraction study of load partitioning during elastic deformation of bovine dentin

A. C. Deymier-Black, J. D. Almer, Stuart R Stock, D. R. Haeffner, David C Dunand

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

The elastic properties of dentin, a biological composite consisting of stiff hydroxyapatite (HAP) nanoplatelets within a compliant collagen matrix, are determined by the volume fraction of these two phases and the load transfer between them. We have measured the elastic strains in situ within the HAP phase of bovine dentine by high energy X-ray diffraction for a series of static compressive stresses at ambient temperature. The apparent HAP elastic modulus (ratio of applied stress to elastic HAP strain) was found to be 18 ± 2 GPa. This value is significantly lower than the value of 44 GPa predicted by the lower bound load transfer Voigt model, using HAP and collagen volume fractions determined by thermo-gravimetric analysis. This discrepancy is explained by (i) a reduction in the intrinsic Young's modulus of the nano-size HAP platelets due to the high fraction of interfacial volume and (ii) an increase in local stresses due to stress concentration around the dentin tubules.

Original language	English (US)
Pages (from-to)	2172-2180
Number of pages	9
Journal	Acta Biomaterialia
Volume	6
Issue number	6
DOIs	https://doi.org/10.1016/j.actbio.2009.11.017
State	Published - Jun 2010

Keywords

Collagen
Dentin
Hydroxyapatite
Mechanical properties
X-ray diffraction

ASJC Scopus subject areas

Biotechnology
Biomaterials
Biochemistry
Biomedical Engineering
Molecular Biology

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10.1016/j.actbio.2009.11.017

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title = "Synchrotron X-ray diffraction study of load partitioning during elastic deformation of bovine dentin",

abstract = "The elastic properties of dentin, a biological composite consisting of stiff hydroxyapatite (HAP) nanoplatelets within a compliant collagen matrix, are determined by the volume fraction of these two phases and the load transfer between them. We have measured the elastic strains in situ within the HAP phase of bovine dentine by high energy X-ray diffraction for a series of static compressive stresses at ambient temperature. The apparent HAP elastic modulus (ratio of applied stress to elastic HAP strain) was found to be 18 ± 2 GPa. This value is significantly lower than the value of 44 GPa predicted by the lower bound load transfer Voigt model, using HAP and collagen volume fractions determined by thermo-gravimetric analysis. This discrepancy is explained by (i) a reduction in the intrinsic Young's modulus of the nano-size HAP platelets due to the high fraction of interfacial volume and (ii) an increase in local stresses due to stress concentration around the dentin tubules.",

keywords = "Collagen, Dentin, Hydroxyapatite, Mechanical properties, X-ray diffraction",

author = "Deymier-Black, {A. C.} and Almer, {J. D.} and Stock, {Stuart R} and Haeffner, {D. R.} and Dunand, {David C}",

note = "Funding Information: The authors thank Prof. Arthur Veis (Northwestern University) for providing the tooth used for the in situ deformation and Dr. Francesco De Carlo of the Advanced Photon Source (APS) for help in collecting the synchrotron microcomputed tomography data at station 2-BM of the APS. They also thank Dr. Marcus Young (Northwestern University, now National Renewable Energy Laboratory) for his help at the beamline and for advice on data analysis. This research was performed at station 1-ID of XOR-APS at the APS, which is supported by the US Department of Energy, Office of Science, under Contract No. DE-AC02-06CH11357. Partial funding was provided to A.C.D. by a National Defense Science and Engineering Graduate Fellowship from the Department of Defense . ",

year = "2010",

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AU - Almer, J. D.

AU - Stock, Stuart R

AU - Haeffner, D. R.

AU - Dunand, David C

N1 - Funding Information: The authors thank Prof. Arthur Veis (Northwestern University) for providing the tooth used for the in situ deformation and Dr. Francesco De Carlo of the Advanced Photon Source (APS) for help in collecting the synchrotron microcomputed tomography data at station 2-BM of the APS. They also thank Dr. Marcus Young (Northwestern University, now National Renewable Energy Laboratory) for his help at the beamline and for advice on data analysis. This research was performed at station 1-ID of XOR-APS at the APS, which is supported by the US Department of Energy, Office of Science, under Contract No. DE-AC02-06CH11357. Partial funding was provided to A.C.D. by a National Defense Science and Engineering Graduate Fellowship from the Department of Defense .

PY - 2010/6

Y1 - 2010/6

N2 - The elastic properties of dentin, a biological composite consisting of stiff hydroxyapatite (HAP) nanoplatelets within a compliant collagen matrix, are determined by the volume fraction of these two phases and the load transfer between them. We have measured the elastic strains in situ within the HAP phase of bovine dentine by high energy X-ray diffraction for a series of static compressive stresses at ambient temperature. The apparent HAP elastic modulus (ratio of applied stress to elastic HAP strain) was found to be 18 ± 2 GPa. This value is significantly lower than the value of 44 GPa predicted by the lower bound load transfer Voigt model, using HAP and collagen volume fractions determined by thermo-gravimetric analysis. This discrepancy is explained by (i) a reduction in the intrinsic Young's modulus of the nano-size HAP platelets due to the high fraction of interfacial volume and (ii) an increase in local stresses due to stress concentration around the dentin tubules.

AB - The elastic properties of dentin, a biological composite consisting of stiff hydroxyapatite (HAP) nanoplatelets within a compliant collagen matrix, are determined by the volume fraction of these two phases and the load transfer between them. We have measured the elastic strains in situ within the HAP phase of bovine dentine by high energy X-ray diffraction for a series of static compressive stresses at ambient temperature. The apparent HAP elastic modulus (ratio of applied stress to elastic HAP strain) was found to be 18 ± 2 GPa. This value is significantly lower than the value of 44 GPa predicted by the lower bound load transfer Voigt model, using HAP and collagen volume fractions determined by thermo-gravimetric analysis. This discrepancy is explained by (i) a reduction in the intrinsic Young's modulus of the nano-size HAP platelets due to the high fraction of interfacial volume and (ii) an increase in local stresses due to stress concentration around the dentin tubules.

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KW - Dentin

KW - Hydroxyapatite

KW - Mechanical properties

KW - X-ray diffraction

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Synchrotron X-ray diffraction study of load partitioning during elastic deformation of bovine dentin

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Keywords

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